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Home » Military Calisthenics: The Disciplined Path to Unstoppable Strength—Watch Here! - Veritas Home Health

Military Calisthenics: The Disciplined Path to Unstoppable Strength—Watch Here! - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 The final answer is:

📌 \boxed{\frac{50}{51}}

📌 Let \( f(x) \) be a polynomial such that \( f(x) = x^3 - 3x + 2 \). Define \( M(x) = f(x) - x \). Find all real solutions to the equation \( M(x) = 0 \).

📌 Given \( f(x) = x^3 - 3x + 2 \), we define \( M(x) = f(x) - x \):

📌 M(x) = (x^3 - 3x + 2) - x = x^3 - 4x + 2

📌 We need to solve \( M(x) = 0 \):

📌 x^3 - 4x + 2 = 0

📌 To find the real solutions, we use the Rational Root Theorem to test possible rational roots, which are divisors of 2. The candidates are \( \pm 1, \pm 2 \).

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